Question

Suppose a sample of​ O-rings was obtained and the wall thickness​ (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed.		0.1580.158	0.1890.189	0.1950.195	0.2080.208
		0.2290.229	0.2290.229	0.2420.242	0.2470.247
		0.2600.260	0.2550.255	0.2770.277	0.2810.281
		0.2890.289	0.3060.306	0.3080.308	0.3410.341

Using the correlation coefficient of the normal probability​ plot, is it reasonable to conclude that the population is normally​ distributed? Select the correct choice below and fill in the answer boxes within your choice.

A. No. The correlation between the expected​ z-scores and the observed​ data, _____ does not exceed does not exceed

the critical ​value, _______.​Therefore, it is not reasonable to conclude that the data come from a normal population.

B. Yes. The correlation between the expected​ z-scores and the observed​ data, _______ exceeds the critical​ value, ______. ​Therefore, it is reasonable to conclude that the data come from a normal population.

C. Yes. The correlation between the expected​ z-scores and the observed​ data, _______ exceeds the critical value _____. ​Therefore, it is not reasonable to conclude that the data come from a normal population.

D. No. The correlation between the expected​ z-scores and the observed​ data, _______ does not exceed the critical​value, ______. ​Therefore, it is reasonable to conclude that the data come from a normal population.

Answer 1

Rank,i	Proportion=i/(n+1)	Z score	Data
1	0.0588	-1.5647	0.158
2	0.1176	-1.1868	0.189
3	0.1765	-0.9289	0.195
4	0.2353	-0.7215	0.208
5	0.2941	-0.5414	0.229
6	0.3529	-0.3774	0.229
7	0.4118	-0.2230	0.242
8	0.4706	-0.0738	0.247
9	0.5294	0.0738	0.255
10	0.5882	0.2230	0.26
11	0.6471	0.3774	0.277
12	0.7059	0.5414	0.281
13	0.7647	0.7215	0.289
14	0.8235	0.9289	0.306
15	0.8824	1.1868	0.308
16	0.9412	1.5647	0.341

correlation between z-score and observed data=                   0.996  
                      
critical correlation value for n=16 is 0.941                      
                      
answer is

yes, the correlation between expected z score and observed data ,   0.996   excced the critical value 0.941,                  
therefore, it is reasonable to conclude that data come from a normal population.